English

Jordan cells in logarithmic limits of conformal field theory

High Energy Physics - Theory 2014-11-18 v3

Abstract

It is discussed how a limiting procedure of conformal field theories may result in logarithmic conformal field theories with Jordan cells of arbitrary rank. This extends our work on rank-two Jordan cells. We also consider the limits of certain three-point functions and find that they are compatible with known results. The general construction is illustrated by logarithmic limits of (unitary) minimal models in conformal field theory. Characters of quasi-rational representations are found to emerge as the limits of the associated irreducible Virasoro characters.

Keywords

Cite

@article{arxiv.hep-th/0406110,
  title  = {Jordan cells in logarithmic limits of conformal field theory},
  author = {Jorgen Rasmussen},
  journal= {arXiv preprint arXiv:hep-th/0406110},
  year   = {2014}
}

Comments

16 pages, v2: discussion of three-point functions and characters included; ref. added, v3: version to be published